Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

Let I= _ - 3 2 ^ 3 2 1-x 1+x ⁻¹ x d x . If I= M - N , then find the value of (M+N) .

Correct answer

Step-by-step solution

I= _ - 3 2 ^ 3 2 1-x 1+x ⁻¹ x d x= _ - 3 2 ^ 3 2 1-x 1-x^2 ⁻¹ x d x Put x= = _ - 3 ^ 3 (1- ) d = _ - 3 ^ 3 d _ odd, 0 - _ - 3 ^ 3 d =- ₀^ 3 d aligned & I=-2 [- . |₀ ^ / 3 + ₀^ 3 d ] & I=-2 [ - 6 + 3 2 ]= 3 - 3 M - N aligned (M+N)=6

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